论文标题

5D $ e_n $ scft中的线路缺陷的操作

OPE of line defects in 5d $E_n$ SCFT

论文作者

Oh, Jihwan

论文摘要

在存在类似射线的缺陷的情况下,5D射线指数是5D超符号指数。基本射线缺陷流向IR量规理论中的基本威尔逊射线。在5D $ \ Mathcal {n} = 1 $的超级符号字段理论(SCFT)的情况下,我们使用$ e_n $ global对称性,我们计算与邻接的Wilson Ray相关的射线索引。我们表明,出现在索引中的运算符在全球对称性$ e_n $的中心下无效。与基本光线操作员携带的中心电荷相比,中心下方的电荷是两次,表明UV SCFT中的射线样缺陷之间存在非平凡的OPE。

5d ray index is the 5d superconformal index in the presence of a ray-like defect. An elementary ray defect flows to a fundamental Wilson ray in IR gauge theory. In 5d $\mathcal{N}=1$ superconformal field theory(SCFT) with $E_n$ global symmetry, we compute the ray index associated with an adjoint Wilson ray. We show that the operators that appear in the index are non-trivially charged under the center of the global symmetry $E_n$. The charge under the center being twice compared with the center charge carried by the elementary ray operator indicates a non-trivial OPE between the ray-like defects in the UV SCFT.

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